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Finding the Third Proportional to 779,489 and 1,700,038

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Solution

The third proportional to 779,489 and 1,700,038 is: 3,707,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,489 : 1,700,038 = 1,700,038 : x
  2. Step 2: Convert to fraction form
    779,489/1,700,038 = 1,700,038/x
  3. Step 3: Cross multiply
    779,489x = 1,700,038 × 1,700,038
  4. Step 4: Simplify right side
    779,489x = 2,890,129,201,444
  5. Step 5: Solve for x
    x = 2,890,129,201,444/779,489
  6. Step 6: Final answer
    x = 3,707,722.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.